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Finding the Fourth Proportional to 1,805.50, 2,707.32 and 830.75

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Solution

The fourth proportional to 1,805.50, 2,707.32 and 830.75 is: 1,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.50 : 2,707.32 = 830.75 : x
  2. Step 2: Convert to fraction form
    1,805.50/2,707.32 = 830.75/x
  3. Step 3: Cross multiply
    1,805.50x = 2,707.32 × 830.75
  4. Step 4: Simplify right side
    1,805.50x = 2,249,106.09
  5. Step 5: Solve for x
    x = 2,249,106.09/1,805.50
  6. Step 6: Final answer
    x = 1,245.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.